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Finding the Fourth Proportional to 11,855.20, 17,793.60 and 10,213.60

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Solution

The fourth proportional to 11,855.20, 17,793.60 and 10,213.60 is: 15,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.20 : 17,793.60 = 10,213.60 : x
  2. Step 2: Convert to fraction form
    11,855.20/17,793.60 = 10,213.60/x
  3. Step 3: Cross multiply
    11,855.20x = 17,793.60 × 10,213.60
  4. Step 4: Simplify right side
    11,855.20x = 181,736,712.96
  5. Step 5: Solve for x
    x = 181,736,712.96/11,855.20
  6. Step 6: Final answer
    x = 15,329.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.